19004912640 has 792 divisors, whose sum is σ = 80816542560. Its totient is φ = 4106059776.

The previous prime is 19004912609. The next prime is 19004912651. The reversal of 19004912640 is 4621940091.

It is a happy number.

19004912640 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 4 + 9 + 1 + 2 + 640 = 666.

It is a super-2 number, since 2×19004912640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19004912595 and 19004912604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42900259 + ... + 42900701.

Almost surely, 2^19004912640 is an apocalyptic number.

19004912640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19004912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40408271280).

19004912640 is an abundant number, since it is smaller than the sum of its proper divisors (61811629920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19004912640 is a wasteful number, since it uses less digits than its factorization.

19004912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 19004912640 in words is "nineteen billion, four million, nine hundred twelve thousand, six hundred forty".